Fuzzy models are present everywhere from natural to artificial structures, embodying the dynamic processes in physical, biological, and social systems. As real-life problems often uncertain on account of inconsistent indeterminate information, it seems very demanding for an expert solve those using a fuzzy model. In this regard, we develop hybrid new model m-polar Diophantine neutrosophic N-sof...

Abstract Compared to the intuitionistic fuzzy sets, Pythagorean sets (PFSs) can provide decision makers with more freedom express their evaluation information. There exist some research results on correlation coefficient between PFSs, but sometimes they fail deal problems of disease diagnosis and cluster analysis. To tackle drawbacks existing coefficients novel directional are put forward compu...

The description of the error dynamics (30) in our paper [1] contains an omission that leads to some bounds used in the conditions of Theorem 8 and Corollary 2 in the paper to be incorrectly defined. In what follows, the correct error dynamics and the corresponding conditions are given. Instead of (30) in [1], the error dynamics are actually given by ė = m ∑ i=1 wi(z)[(Ai − LiC +MiAδi)e +Mi(Āδix̂...

This paper is a brief summary of “M.Takahashi, T.Murofushi, S.Asahina, A new necessary and sufficient condition for the Egoroff theorem in non-additive measure theory, Fuzzy Sets and Systems, to appear.” This paper states that a newly defined condition, called condition (M), is a necessary and sufficient condition for the Egoroff theorem in non-additive measure theory. The existing necessary an...

Fuzzy set theory has much application in different fields; therefore several scholars are working in this area. In fuzzy set theory the most important topic for research is aggregation operators. Therefore in this notes we present the concept of Pythagorean fuzzy ordered weighted geometric aggregation operator, and also discuss many basic and important properties of the propose operator. At the...

Managers nowadays face challenging decisions on daily basis and must weigh a growing number of factors while making such decisions. Previously, judgments were frequently assessed solely based single criterion, as profit or cost. Cost profit, the other hand, rarely captures desirability decision option. One most common popular research domains in science theory is multiple attribute (MADM) probl...

Multi-attribute decision-making (MADM) is usually used to aggregate fuzzy data successfully. Choosing the best option regarding not generally symmetric on grounds that it does provide complete information. Since Aczel-Alsina aggregation operators (AOs) have great impact due their parameter variableness, they been well applied in MADM under construction. Recently, AOs intuitionistic sets (IFSs),...

Abstract: In this paper, we introduce Interval valued q- Rung Orthopair Hesitant fuzzy sets (IVq-ROHFS) with motivation of pythagorean [44] as a new concept. Then, give some basic operations complement, union, intersection, addition, scalar multiplication, power. Also, combine to and choquet integral , together aggregating operators, develop rung orthopair hesitant Choquet averaging operator (I...